scholarly journals Duality in two-dimensional (2,2) supersymmetric non-Abelian gauge theories

2013 ◽  
Vol 2013 (10) ◽  
Author(s):  
Kentaro Hori
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Abelian Gauge

Generalized two-dimensional Abelian gauge theories and confinement

1979 ◽  
Vol 153 ◽  
pp. 112-140 ◽  
Author(s):  
L.V. Belvedere ◽  
J.A. Swieca ◽  
K.D. Rothe ◽  
B. Schroer
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Abelian Gauge

scholarly journals Connecting mirror symmetry in 3D and 2D via localization

2014 ◽  
Vol 29 (32) ◽  
pp. 1530004 ◽  
Author(s):  
Heng-Yu Chen ◽  
Hsiao-Yi Chen ◽  
Jun-Kai Ho
Keyword(s):  
Mirror Symmetry ◽  
Gauge Theories ◽  
Three Dimensional ◽  
High Energy ◽  
Partition Functions ◽  
Two Dimensional ◽  
Abelian Gauge ◽  
Fusion Procedure ◽  
Mirror Pair ◽  
Simple Limit

We explicitly apply localization results to study the interpolation between three- and two-dimensional mirror symmetries for Abelian gauge theories with four supercharges. We first use the ellipsoid [Formula: see text] partition functions to verify the mirror symmetry between a pair of general three-dimensional 𝒩 = 2 Abelian Chern–Simons quiver gauge theories. These expressions readily factorize into holomorphic blocks and their antiholomorphic copies, so we can also obtain the partition functions on S1×S2 via fusion procedure. We then demonstrate S1×S2 partition functions for the three-dimensional Abelian gauge theories can be dimensionally reduced to the S2 partition functions of 𝒩 = (2, 2) GLSM and Landau–Ginzburg model for the corresponding two-dimensional mirror pair, as anticipated previously in M. Aganagic et al., J. High Energy Phys.0107, 022 (2001). We also comment on the analogous interpolation for the non-Abelian gauge theories and compute the K-theory vortex partition function for a simple limit to verify the prediction from holomorphic block.

scholarly journals TWO-DIMENSIONAL CHIRAL GAUGE THEORIES IN THE SCHRÖDINGER REPRESENTATION

1990 ◽  
Vol 05 (01) ◽  
pp. 153-173 ◽  
Author(s):  
A.V. RAMALLO
Keyword(s):  
Gauge Theories ◽  
Lorentz Invariance ◽  
Collective Excitations ◽  
Clear Understanding ◽  
Two Dimensional ◽  
Dimensional Theory ◽  
Massive Mode ◽  
Abelian Gauge ◽  
Schrödinger Representation ◽  
Left Handed

We present a quantization, in the Schrödinger representation, of a two-dimensional theory consisting of an Abelian gauge field coupled to an arbitrary number of right- and left-handed fermions. A consistent and unitary quantum theory is obtained. The gauge symmetry is broken but Lorentz invariance survives quantization. The theory contains a series of chiral massless particles and a massive mode, which can be interpreted as collective excitations of the fields that we have in the initial Lagrangian. Our formalism is quite transparent and allows a clear understanding of the consistency of the model.

scholarly journals An Exact Equation for Wilson Loops in Two-Dimensional Euclidean Space

2003 ◽  
Vol 18 (27) ◽  
pp. 1925-1929
Author(s):  
Mofazzal Azam
Keyword(s):  
Euclidean Space ◽  
Gauge Theories ◽  
Gauge Fields ◽  
Dimensional Euclidean Space ◽  
Exact Equation ◽  
Wilson Loops ◽  
Two Dimensional ◽  
Abelian Gauge

We derive an exact equation for simple self non-intersecting Wilson loops in non-Abelian gauge theories with gauge fields interacting with fermions in two-dimensional Euclidean space.

Liberation of exotic states in two-dimensional Abelian gauge theories

1981 ◽  
Vol 185 (2) ◽  
pp. 429-444 ◽  
Author(s):  
K.D. Rothe ◽  
B. Schroer
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Abelian Gauge ◽  
Exotic States

scholarly journals Magneto-Static Vortices in Two Dimensional Abelian Gauge Theories

2009 ◽  
Vol 6 (3) ◽  
pp. 347-366 ◽  
Author(s):  
Jacopo Bellazzini ◽  
Claudio Bonanno ◽  
Gaetano Siciliano
Keyword(s):  
Gauge Theories ◽  
Two Dimensional ◽  
Abelian Gauge

Geometry and Quantum Dynamics

2017 ◽  
Author(s):  
Laurent Baulieu ◽  
John Iliopoulos ◽  
Roland Sénéor
Keyword(s):  
General Relativity ◽  
Quantum Dynamics ◽  
Gauge Theories ◽  
Brst Symmetry ◽  
Abelian Gauge ◽  
Yang Mills ◽  
History Of ◽  
Brst Invariance

A geometrical derivation of Abelian and non- Abelian gauge theories. The Faddeev–Popov quantisation. BRST invariance and ghost fields. General discussion of BRST symmetry. Application to Yang–Mills theories and general relativity. A brief history of gauge theories.

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